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Finding the Fourth Proportional to 556,022.06, 767,302.13 and 314,296.14

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Solution

The fourth proportional to 556,022.06, 767,302.13 and 314,296.14 is: 433,723.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,022.06 : 767,302.13 = 314,296.14 : x
  2. Step 2: Convert to fraction form
    556,022.06/767,302.13 = 314,296.14/x
  3. Step 3: Cross multiply
    556,022.06x = 767,302.13 × 314,296.14
  4. Step 4: Simplify right side
    556,022.06x = 241,160,097,672.78
  5. Step 5: Solve for x
    x = 241,160,097,672.78/556,022.06
  6. Step 6: Final answer
    x = 433,723.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.